MinT - Information on Result #2767315

Information on Result #2767315

Linear OOA(2²⁴⁶, 69, F₂, 4, 142) (dual of [(69, 4), 30, 143]-NRT-code), using strength reduction based on linear OOA(2²⁴⁶, 69, F₂, 4, 143) (dual of [(69, 4), 30, 144]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹⁷, 23, F₃₂, 17) (dual of [23, 6, 18]-code or 23-arc in PG(16,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹⁷, 32, F₃₂, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
    - Reedâ€“Solomon code RS(15,32) [i]
2. linear OOA(2⁷, 3, F₂, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;5,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2²⁴⁷, 69, F₂, 4, 142) (dual of [(69, 4), 29, 143]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²⁴⁵, 68, F₂, 4, 141) (dual of [(68, 4), 27, 142]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²⁴⁴, 68, F₂, 4, 140) (dual of [(68, 4), 28, 141]-NRT-code)	[i]
4	Linear OOA(2²⁴³, 68, F₂, 4, 139) (dual of [(68, 4), 29, 140]-NRT-code)	[i]
5	Linear OOA(2²⁴², 68, F₂, 4, 138) (dual of [(68, 4), 30, 139]-NRT-code)	[i]
6	Linear OOA(2²⁴¹, 67, F₂, 4, 137) (dual of [(67, 4), 27, 138]-NRT-code)	[i]
7	Linear OOA(2²⁴⁰, 67, F₂, 4, 136) (dual of [(67, 4), 28, 137]-NRT-code)	[i]
8	Linear OOA(2²³⁹, 67, F₂, 4, 135) (dual of [(67, 4), 29, 136]-NRT-code)	[i]
9	Linear OOA(2²³⁸, 67, F₂, 4, 134) (dual of [(67, 4), 30, 135]-NRT-code)	[i]
10	Linear OOA(2²³³, 65, F₂, 4, 129) (dual of [(65, 4), 27, 130]-NRT-code)	[i]
11	Linear OOA(2²³², 65, F₂, 4, 128) (dual of [(65, 4), 28, 129]-NRT-code)	[i]